Distribution value of algebraic curves and the Gauss maps on algebraic minimal surfaces

DOI10.1142/S0129167X21500282zbMath1467.53009OpenAlexW3132698176WikidataQ114073229 ScholiaQ114073229MaRDI QIDQ4993859

Do Duc Thai, Pham Duc Thoan, Si Duc Quang

Publication date: 11 June 2021

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x21500282

zbMATH Keywords

minimal surfaceGauss mapalgebraic curvesecond main theorem

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Value distribution theory in higher dimensions (32H30)

Cites Work

• The Gauss map of algebraic complete minimal surfaces omits hypersurfaces in subgeneral position
• On the number of exceptional values of the Gauss map of minimal surfaces
• Global properties of minimal surfaces in \(E^ 3\) and \(E^ n\)
• Second main theorem and unicity of meromorphic mappings for hypersurfaces in projective varieties
• Algebraic curves and the Gauss map of algebraic minimal surfaces
• Complete minimal surfaces in Euclidean \(n\)-spaces
• Modified defect relations for the Gauss map of minimal surfaces. II
• Gauss Map of Minimal Surfaces with Ramifiction
• The Gauss map of pseudo-algebraic minimal surfaces
• RAMIFICATION OVER HYPERSURFACES LOCATED IN SUBGENERAL POSITION OF THE GAUSS MAP OF COMPLETE MINIMAL SURFACES WITH FINITE TOTAL CURVATURE
• On the Gauss map of minimal surfaces with finite total curvature
• On the Gauss map of minimal surfaces immersed in \(R^ n\)

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